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Relative Error Formula

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Relative error is a measure of the error in relation to the size of the measurement. Check FAQs

R x = \frac{ε x}{x}

R_x - Relative Error?ε_x - True Error?x - Observed Value?

Relative Error Example

With values

With units

Only example

Here is how the Relative Error equation looks like with Values.

Here is how the Relative Error equation looks like with Units.

Here is how the Relative Error equation looks like.

2.0126 = \frac{320}{159}

2.0126 = \frac{320}{159}

2.0126 = \frac{320}{159}

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Relative Error Solution

Follow our step by step solution on how to calculate Relative Error?

FIRST Step Consider the formula

R x = \frac{ε x}{x}

Next Step Substitute values of Variables

∴

R x = \frac{320}{159}

Next Step Prepare to Evaluate

∴

R x = \frac{320}{159}

Next Step Evaluate

∴

R x = 2.0125786163522

LAST Step Rounding Answer

∴

R x = 2.0126

Relative Error Formula Elements

Variables

Relative Error

Relative error is a measure of the error in relation to the size of the measurement.

Symbol: R_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Error

True Error

True error is the difference between the true value of a quantity and its observed value.

Symbol: ε_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find True Error

Observed Value

Observed value is the value which the observer notes during surveying.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Observed Value

Other formulas in Theory of Errors category

Go Probable Error of Mean

PE m = \frac{PE s}{{n obs}^{0.5}}

Go Mean Error given Sum of Errors

E m = \frac{ΣE}{n obs}

Go Mean Error given Specified Error of Single Measurement

E m = \frac{E s}{\sqrt{n obs}}

Go True Error

ε x = X - x

How to Evaluate Relative Error?

Relative Error evaluator uses Relative Error = True Error/Observed Value to evaluate the Relative Error, The Relative Error is an extremely useful definition, and is commonly used in expressing the accuracy of linear measurement. It is a measure of the error in relation to the size of the measurement. Relative Error is denoted by R_x symbol.

How to evaluate Relative Error using this online evaluator? To use this online evaluator for Relative Error, enter True Error (ε_x) & Observed Value (x) and hit the calculate button.

FAQs on Relative Error

What is the formula to find Relative Error?

The formula of Relative Error is expressed as Relative Error = True Error/Observed Value. Here is an example- 2.012579 = 320/159.

How to calculate Relative Error?

With True Error (ε_x) & Observed Value (x) we can find Relative Error using the formula - Relative Error = True Error/Observed Value.

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Relative Error Formula

Relative Error Example

Relative Error Solution

Relative Error Formula Elements

Other formulas in Theory of Errors category

How to Evaluate Relative Error?

FAQs on Relative Error

Variable Name